Room P3.10, Mathematics Building

Moritz Reintjes, Instituto Superior Técnico
Introduction to the Theory of Shock Waves VI

I plan to cover the following topics: Euler equations; Burger's equation; $p$-system; symmetric hyperbolic PDEs; shock formation; Lax method of solving Riemann problems; Glimm's method for solving Cauchy problems; Entropy solutions; artificial viscosity.

Bibliography

  • Joel Smoller, Shock waves and Reaction Diffusion Equations.
  • Constantine Dafermos, Hyperbolic Conservation Laws in Continuum Physics.
  • Alexandre Chorin and Jerrold Marsden, A Mathematical Introduction to Fluid Mechanics.
  • Lecture notes of Blake Temple.

    Additional file

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    Notes for this talk

    Planned duration: 6 x 1.5 hours.

    Projecto FCT UID/MAT/04459/2019.